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Finding the Fourth Proportional to 846,175,330.20, 1,266,874,208.10 and 846,175,330.20

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Solution

The fourth proportional to 846,175,330.20, 1,266,874,208.10 and 846,175,330.20 is: 1,266,874,208.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,175,330.20 : 1,266,874,208.10 = 846,175,330.20 : x
  2. Step 2: Convert to fraction form
    846,175,330.20/1,266,874,208.10 = 846,175,330.20/x
  3. Step 3: Cross multiply
    846,175,330.20x = 1,266,874,208.10 × 846,175,330.20
  4. Step 4: Simplify right side
    846,175,330.20x = 1,071,997,701,360,881,024
  5. Step 5: Solve for x
    x = 1,071,997,701,360,881,024/846,175,330.20
  6. Step 6: Final answer
    x = 1,266,874,208.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.